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Finding the Fourth Proportional to 234.66, 323.65 and 165.54

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Solution

The fourth proportional to 234.66, 323.65 and 165.54 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 323.65 = 165.54 : x
  2. Step 2: Convert to fraction form
    234.66/323.65 = 165.54/x
  3. Step 3: Cross multiply
    234.66x = 323.65 × 165.54
  4. Step 4: Simplify right side
    234.66x = 53,577.02
  5. Step 5: Solve for x
    x = 53,577.02/234.66
  6. Step 6: Final answer
    x = 228.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.